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Siegel upper half-space print that page

In mathematics , the Siegel upper half-space of degree g (or genus g ) (also called the Siegel upper half plane ) is the set of g  ×  g symmetric matrices over the complex numbers whose imaginary part is positive definite . It is named in honor of Carl Ludwig Siegel . In the case | 2011/5/19 1:59:12

Omnidirectional antenna print that page


An omnidirectional antenna is an antenna which radiates power uniformly in all directions in one plane , with the radiated power decreasing with elevation angle above or below the plane , dropping to zero on the antenna's axis. This radiation pattern is often described as "donut shaped"

Dedekind eta function print that page


The Dedekind eta function , named after Richard Dedekind , is a function defined on the upper half plane of complex numbers , where the imaginary part is positive. For any such complex number , we define , and define the eta function by (The notation is now standard in number theory

Half Moon Crater print that page

named for its shape by Frank Debenham of British Antarctic Expedition , 1910–13, who made a plane table survey of the peninsula in 1912.   This article incorporates public domain material from the United States Geological Survey document "Half Moon Crater" (content from the Geographic | 2011/7/17 21:11:45

Lunar phase print that page


Moon, causing a lunar eclipse . Solar and lunar eclipses are not observed every month because the plane of the Moon's orbit around the Earth is tilted by about five degrees with respect to the plane of Earth's orbit around the Sun (the plane of the ecliptic ). Thus, when new and full moons

Complex plane print that page

In mathematics , the complex plane or z plane is a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis . It can be thought of as a modified Cartesian plane , with the real part of a complex number represented by a displacement | 2011/6/29 19:01:03

Dipole antenna print that page


A dipole antenna is a radio antenna that can be made of a simple wire , with a center-fed driven element . It consists of two metal conductors of rod or wire, oriented parallel and collinear with each other (in line with each other), with a small space between them. The radio frequency

Möbius strip print that page


The Möbius strip or Möbius band (pronounced UK:  /ˈmɜːbiəs/ or US:  /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) (alternatively written Mobius or Moebius in English) is a surface with only one side and only one boundary component . The Möbius strip has the mathematical

Hyperbolic geometry print that page


intersecting lines 2 Triangles 3 Circles, spheres and balls 4 History 5 Models of the hyperbolic plane 5.1 Connection between the models 6 Visualizing hyperbolic geometry 7 Homogeneous structure 8 See also 9 Notes 10 References 11 External links [ edit ] Non

Wallpaper group print that page


A wallpaper group (or plane symmetry group or plane crystallographic group ) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art . There are 17 possible distinct